6349824054 has 288 divisors, whose sum is σ = 18438451200. Its totient is φ = 1563287040.

The previous prime is 6349824049. The next prime is 6349824059. The reversal of 6349824054 is 4504289436.

6349824054 is a `hidden beast` number, since 634 + 9 + 8 + 2 + 4 + 0 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6349824049) and next prime (6349824059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6349824059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8831107 + ... + 8831825.

It is an arithmetic number, because the mean of its divisors is an integer number (64022400).

Almost surely, 2^6349824054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6349824054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219225600).

6349824054 is an abundant number, since it is smaller than the sum of its proper divisors (12088627146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6349824054 is a wasteful number, since it uses less digits than its factorization.

6349824054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6349824054 is about 79685.7832615078. The cubic root of 6349824054 is about 1851.7707957356.

The spelling of 6349824054 in words is "six billion, three hundred forty-nine million, eight hundred twenty-four thousand, fifty-four".